Question 683434

x - 10 sqrt(x) + 25 = 0

I figured out via guess and check that x = 25 but how do i solve for it using algebra? also is there more then one answer? 


{{{x - 10sqrt(x) + 25 = 0}}}


{{{x + 25 = 10sqrt(x)}}} ------ Adding {{{10sqrt(x)}}}


{{{(x + 25)^2 = (10sqrt(x))^2}}} ------ Squaring both sides


{{{x^2 + 50x + 625 = 100x}}}


{{{x^2 + 50x - 100x + 625 = 0}}}


{{{x^2 - 50x + 625 = 0}}}


(x - 25)(x - 25) = 0


{{{highlight_green(x = 25)}}}


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